{"id":"https://openalex.org/W2804009132","doi":"https://doi.org/10.1080/10556788.2018.1471141","title":"Stochastic proximal quasi-Newton methods for non-convex composite optimization","display_name":"Stochastic proximal quasi-Newton methods for non-convex composite optimization","publication_year":2018,"publication_date":"2018-05-18","ids":{"openalex":"https://openalex.org/W2804009132","doi":"https://doi.org/10.1080/10556788.2018.1471141","mag":"2804009132"},"language":"en","primary_location":{"id":"doi:10.1080/10556788.2018.1471141","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10556788.2018.1471141","pdf_url":null,"source":{"id":"https://openalex.org/S103047102","display_name":"Optimization methods & software","issn_l":"1026-7670","issn":["1026-7670","1029-4937","1055-6788"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Methods and Software","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101968658","display_name":"Xiaoyu Wang","orcid":"https://orcid.org/0000-0003-4102-4909"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiaoyu Wang","raw_affiliation_strings":["LSEC, Institute of Computational Mathematics and Scientific/Engineering Computing, AMSS, Chinese Academy of Sciences, Beijing, People's Republic of China","School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LSEC, Institute of Computational Mathematics and Scientific/Engineering Computing, AMSS, Chinese Academy of Sciences, Beijing, People's Republic of China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I19820366"]},{"raw_affiliation_string":"School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, People's Republic of China","institution_ids":["https://openalex.org/I4210165038"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101968658","display_name":"Xiaoyu Wang","orcid":"https://orcid.org/0000-0003-4102-4909"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaoyu Wang","raw_affiliation_strings":["LSEC, Institute of Computational Mathematics and Scientific/Engineering Computing, AMSS, Chinese Academy of Sciences, Beijing, People's Republic of China","School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LSEC, Institute of Computational Mathematics and Scientific/Engineering Computing, AMSS, Chinese Academy of Sciences, Beijing, People's Republic of China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I19820366"]},{"raw_affiliation_string":"School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, People's Republic of China","institution_ids":["https://openalex.org/I4210165038"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079876496","display_name":"Xiao Wang","orcid":"https://orcid.org/0000-0002-3492-9235"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiao Wang","raw_affiliation_strings":["LSEC, Institute of Computational Mathematics and Scientific/Engineering Computing, AMSS, Chinese Academy of Sciences, Beijing, People's Republic of China","School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LSEC, Institute of Computational Mathematics and Scientific/Engineering Computing, AMSS, Chinese Academy of Sciences, Beijing, People's Republic of China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I19820366"]},{"raw_affiliation_string":"School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, People's Republic of China","institution_ids":["https://openalex.org/I4210165038"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079876496","display_name":"Xiao Wang","orcid":"https://orcid.org/0000-0002-3492-9235"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiao Wang","raw_affiliation_strings":["LSEC, Institute of Computational Mathematics and Scientific/Engineering Computing, AMSS, Chinese Academy of Sciences, Beijing, People's Republic of China","School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LSEC, Institute of Computational Mathematics and Scientific/Engineering Computing, AMSS, Chinese Academy of Sciences, Beijing, People's Republic of China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I19820366"]},{"raw_affiliation_string":"School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, People's Republic of China","institution_ids":["https://openalex.org/I4210165038"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5107835542","display_name":"Ya-xiang Yuan","orcid":null},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ya-xiang Yuan","raw_affiliation_strings":["LSEC, Institute of Computational Mathematics and Scientific/Engineering Computing, AMSS, Chinese Academy of Sciences, Beijing, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LSEC, Institute of Computational Mathematics and Scientific/Engineering Computing, AMSS, Chinese Academy of Sciences, Beijing, People's Republic of China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I19820366"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5079876496","https://openalex.org/A5101968658"],"corresponding_institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210120485","https://openalex.org/I4210165038"],"apc_list":null,"apc_paid":null,"fwci":2.4977,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.88453849,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"34","issue":"5","first_page":"922","last_page":"948"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.994700014591217,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.6513699889183044},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6470223069190979},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6329426765441895},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.628510057926178},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5923612713813782},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4963832497596741},{"id":"https://openalex.org/keywords/stationary-point","display_name":"Stationary point","score":0.43472516536712646},{"id":"https://openalex.org/keywords/stochastic-optimization","display_name":"Stochastic optimization","score":0.4220588803291321},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3768831193447113},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3094986081123352},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1275225579738617},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.05594393610954285}],"concepts":[{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.6513699889183044},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6470223069190979},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6329426765441895},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.628510057926178},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5923612713813782},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4963832497596741},{"id":"https://openalex.org/C189237950","wikidata":"https://www.wikidata.org/wiki/Q2500758","display_name":"Stationary point","level":2,"score":0.43472516536712646},{"id":"https://openalex.org/C194387892","wikidata":"https://www.wikidata.org/wiki/Q1747770","display_name":"Stochastic optimization","level":2,"score":0.4220588803291321},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3768831193447113},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3094986081123352},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1275225579738617},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.05594393610954285},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/10556788.2018.1471141","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10556788.2018.1471141","pdf_url":null,"source":{"id":"https://openalex.org/S103047102","display_name":"Optimization methods & software","issn_l":"1026-7670","issn":["1026-7670","1029-4937","1055-6788"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Methods and Software","raw_type":"journal-article"},{"id":"pmh:oai:repository.hkust.edu.hk:1783.1-126992","is_oa":false,"landing_page_url":"http://www.scopus.com/record/display.url?eid=2-s2.0-85047143423&origin=inward","pdf_url":null,"source":{"id":"https://openalex.org/S4306401796","display_name":"Rare & Special e-Zone (The Hong Kong University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200769079","host_organization_name":"Hong Kong University of Science and Technology","host_organization_lineage":["https://openalex.org/I200769079"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.4399999976158142}],"awards":[{"id":"https://openalex.org/G5653340087","display_name":null,"funder_award_id":"11301505","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G603791882","display_name":"\u9762\u5411\u4fe1\u606f\u6280\u672f\u7684\u4f18\u5316\u7406\u8bba\u548c\u65b9\u6cd5","funder_award_id":"11331012","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6967058303","display_name":null,"funder_award_id":"11688101","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8042057216","display_name":null,"funder_award_id":"11731013","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":58,"referenced_works":["https://openalex.org/W56897548","https://openalex.org/W1489619838","https://openalex.org/W1491622225","https://openalex.org/W1890144115","https://openalex.org/W1939652453","https://openalex.org/W1966150378","https://openalex.org/W1969048569","https://openalex.org/W1994616650","https://openalex.org/W1998724010","https://openalex.org/W2025469203","https://openalex.org/W2028912194","https://openalex.org/W2029463628","https://openalex.org/W2042173174","https://openalex.org/W2047152541","https://openalex.org/W2051154204","https://openalex.org/W2053386824","https://openalex.org/W2053964895","https://openalex.org/W2056636001","https://openalex.org/W2095211439","https://openalex.org/W2107438106","https://openalex.org/W2116805437","https://openalex.org/W2118163005","https://openalex.org/W2120717492","https://openalex.org/W2135046866","https://openalex.org/W2137515395","https://openalex.org/W2142694817","https://openalex.org/W2153262685","https://openalex.org/W2221861892","https://openalex.org/W2287259016","https://openalex.org/W2301983558","https://openalex.org/W2304667012","https://openalex.org/W2306875213","https://openalex.org/W2407904812","https://openalex.org/W2436943375","https://openalex.org/W2442014075","https://openalex.org/W2474669789","https://openalex.org/W2514742857","https://openalex.org/W2615262195","https://openalex.org/W2750786826","https://openalex.org/W2950292542","https://openalex.org/W2950635152","https://openalex.org/W2952215077","https://openalex.org/W2962867868","https://openalex.org/W2962961534","https://openalex.org/W2963156201","https://openalex.org/W2963173886","https://openalex.org/W2963248893","https://openalex.org/W2963807877","https://openalex.org/W2963941964","https://openalex.org/W2964303576","https://openalex.org/W3023471860","https://openalex.org/W3098745759","https://openalex.org/W3099265058","https://openalex.org/W4301014524","https://openalex.org/W6605222378","https://openalex.org/W6611069813","https://openalex.org/W6652461405","https://openalex.org/W6832700342"],"related_works":["https://openalex.org/W2152992791","https://openalex.org/W2112835755","https://openalex.org/W2349674371","https://openalex.org/W4291951920","https://openalex.org/W2097495471","https://openalex.org/W1696545756","https://openalex.org/W4301867002","https://openalex.org/W2952827811","https://openalex.org/W2056202066","https://openalex.org/W4309210394"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,33,54,87,111],"propose":[4,88],"a":[5,89],"generic":[6],"algorithmic":[7],"framework":[8,98],"for":[9,99],"stochastic":[10,105],"proximal":[11,28,57,70],"quasi-Newton":[12],"(SPQN)":[13],"methods":[14],"to":[15,26,42,63,116],"solve":[16],"non-convex":[17],"composite":[18],"optimization":[19],"problems.":[20],"Stochastic":[21],"second-order":[22],"information":[23],"is":[24,84,103],"explored":[25],"construct":[27],"subproblem.":[29],"Under":[30,74],"mild":[31],"conditions":[32],"show":[34],"the":[35,39,56,68,81,97,118,121],"non-asympotic":[36],"convergence":[37,78],"of":[38,45,59,80,120],"proposed":[40,82,122],"algorithm":[41,83],"stationary":[43],"point":[44],"original":[46],"problems":[47],"and":[48,66],"analyse":[49],"its":[50],"computational":[51],"complexity.":[52],"Besides,":[53],"extend":[55],"form":[58],"Polyak-\u0141ojasiewicz":[60],"(PL)":[61],"inequality":[62,76],"constrained":[64,69],"settings":[65],"obtain":[67],"PL":[71],"(CP-PL)":[72],"inequality.":[73],"CP-PL":[75],"linear":[77],"rate":[79],"achieved.":[85],"Moreover,":[86],"modified":[90],"self-scaling":[91],"symmetric":[92,106],"rank":[93,107],"one":[94,108],"incorporated":[95],"in":[96],"SPQN":[100],"method,":[101],"which":[102],"called":[104],"method.":[109],"Finally,":[110],"report":[112],"some":[113],"numerical":[114],"experiments":[115],"reveal":[117],"effectiveness":[119],"algorithm.":[123]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":3}],"updated_date":"2026-06-08T08:47:23.578185","created_date":"2025-10-10T00:00:00"}
